math help

What is 70/51 + 2/4?

What is 70/51 + 2/4?

Let's add

70
51
+
2
4

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 70 by 4, and get 280, then we multiply 51 by 4 and get 204.

70/51 times 4

Now for the second term. You multiply 2 by 51, and get 102, then multiply 51 by 4 and get 204.

2/4 times 51

We now have a new problem, that looks like this:

280
204
+
102
204

Step 2

Since our denominators match, we can add the numerators.

280 + 102 = 382

That gives us the sum, which is

382
204

Step 3

Now, do we need to simplify this fraction?

First, we attempt to divide it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

382
204
÷ 2 =
191
102

Now, try the same number again.

Nope. Try the next prime number, 3...

Nope. Try the next prime number, 5...

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

Nope. Try the next prime number, 53...

Nope. Try the next prime number, 59...

Nope. Try the next prime number, 61...

Nope. Try the next prime number, 67...

Nope. Try the next prime number, 71...

Nope. Try the next prime number, 73...

Nope. Try the next prime number, 79...

Nope. Try the next prime number, 83...

Nope. Try the next prime number, 89...

Nope. Try the next prime number, 97...

Nope. Try the next prime number, 101...

Nope. Try the next prime number, 103...

No good. 103 is larger than 102. So we're done reducing.

Congratulations! Here's your final answer to 70/51 + 2/4

70
51
+
2
4
=
191
102
© 2014 Randy Tayler